Accessibility of Solutions by Newton's Method
-
1
Universidad de La Rioja
info
ISSN: 0020-7160
Any de publicació: 1995
Volum: 57
Número: 3-4
Pàgines: 239-247
Tipus: Article
Altres publicacions en: International Journal of Computer Mathematics
Resum
We give new conditions for the convergence of Newton's method in Banach spaces, in terms of the degree of logarithmic convexity. These conditions guarantee the convergence of Newton sequence in cases where the hypothesis of Kantorovich theorem are not verified, as we show in some examples